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Finding the Third Proportional to 435.66 and 768.09

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Solution

The third proportional to 435.66 and 768.09 is: 1,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.66 : 768.09 = 768.09 : x
  2. Step 2: Convert to fraction form
    435.66/768.09 = 768.09/x
  3. Step 3: Cross multiply
    435.66x = 768.09 × 768.09
  4. Step 4: Simplify right side
    435.66x = 589,968.01
  5. Step 5: Solve for x
    x = 589,968.01/435.66
  6. Step 6: Final answer
    x = 1,354.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.